Multiple choice

The ratio of ages of P and Q is 2 : 3. Six years hence, their ages will be in the ratio 5 : 7. What is the present age of P?

  1. 12

  2. 24

  3. 28

  4. 32

  5. 62
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let P = 2x and Q = 3x. Six years later, (2x+6)/(3x+6) = 5/7. Cross-multiplying: 14x + 42 = 15x + 30. Solving for x gives x = 12. P's present age is 2x = 24.

AI explanation

Let the present ages of P and Q be 2x and 3x years, respectively. Six years hence, their ages will be 2x plus 6 and 3x plus 6, giving the equation 2x plus 6 over 3x plus 6 equals 5 over 7. Cross multiplying yields 14x plus 42 equals 15x plus 30, so x equals 12. The present age of P is 2 times 12, which is 24.

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